// Numbas version: exam_results_page_options
{"name": "copy of Scientific notation: scientific notation to small numbers", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["dec1", "pow1", "q1", "dec2", "pow2", "q2"], "name": "copy of Scientific notation: scientific notation to small numbers", "tags": ["converting", "scientific notation", "standard form"], "advice": "", "rulesets": {}, "parts": [{"stepsPenalty": "1", "prompt": "<p>$\\var{dec1}\\times 10^\\var{pow1}$ =&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{q1}", "minValue": "{q1}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>A number is in scientific notation if it is written as a decimal multiplied by some power of 10, where the decimal has exactly one digit in front of the decimal place. For example:</p>\n<p>\\[1.234\\times 10^6, \\quad \\text{and} \\quad 3.01\\times 10^{-3}\\]</p>\n<p>are both in scientific notation.</p>\n<p></p>\n<hr/>\n<p>On the other hand, multiplying a number by $10^{-3}$ will move the decimal point three places to make the number smaller (the decimal point moves to the left). This is because</p>\n<p>\\[10^{-3}=\\frac{1}{10^3}=\\frac{1}{1000}=0.001\\]</p>\n<p>and so multiplying by it must make the original number smaller. In particular,</p>\n<p>\\[3.01\\times 10^{-3}=0.00301\\]</p>\n<p><em>Note you should always put a zero in front of your decimal point.</em></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "scripts": {}, "marks": 0, "showCorrectAnswer": true, "type": "gapfill"}, {"stepsPenalty": "1", "prompt": "<p>$\\var{dec2}\\times 10^\\var{pow2}$ =&nbsp;[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"allowFractions": false, "variableReplacements": [], "maxValue": "{q2}", "minValue": "{q2}", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry", "showPrecisionHint": false}], "steps": [{"prompt": "<p>A number is in scientific notation if it is written as a decimal multiplied by some power of 10, where the decimal has exactly one digit in front of the decimal place. For example:</p>\n<p>\\[1.234\\times 10^6, \\quad \\text{and} \\quad 3.01\\times 10^{-3}\\]</p>\n<p>are both in scientific notation.</p>\n<p></p>\n<hr/>\n<p>On the other hand, multiplying a number by $10^{-3}$ will move the decimal point three places to make the number smaller (the decimal point moves to the left). This is because</p>\n<p>\\[10^{-3}=\\frac{1}{10^3}=\\frac{1}{1000}=0.001\\]</p>\n<p>and so multiplying by it must make the original number smaller. In particular,</p>\n<p>\\[3.01\\times 10^{-3}=0.00301\\]</p>\n<p><em>Note you should always put a zero in front of your decimal point.</em></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "scripts": {}, "marks": 0, "showCorrectAnswer": true, "type": "gapfill"}], "statement": "<p>Write the following numbers in decimal notation.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"q1": {"definition": "precround(dec1*10^pow1,14)", "templateType": "anything", "group": "Ungrouped variables", "name": "q1", "description": ""}, "q2": {"definition": "precround(dec2*10^pow2,14)", "templateType": "anything", "group": "Ungrouped variables", "name": "q2", "description": ""}, "pow2": {"definition": "random(list(-6..-1) except pow1)", "templateType": "anything", "group": "Ungrouped variables", "name": "pow2", "description": ""}, "pow1": {"definition": "random(-1..-6)", "templateType": "anything", "group": "Ungrouped variables", "name": "pow1", "description": ""}, "dec1": {"definition": "random(1.1..9.9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "name": "dec1", "description": ""}, "dec2": {"definition": "random(1.1..9.9#0.001)", "templateType": "anything", "group": "Ungrouped variables", "name": "dec2", "description": ""}}, "metadata": {"notes": "<p>I tried to make a function that put a space between every third decimal place but I couldn't figure out how to do it :(</p>", "description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}]}]}], "contributors": [{"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}]}